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52340821 = 132317977
BaseRepresentation
bin1100011110101…
…0100001010101
310122111012002221
43013222201111
5101344401241
65105502341
71203614101
oct307524125
9118435087
1052340821
11275aa485
12156419b1
13aac7a00
146d46901
1548dd5d1
hex31ea855

52340821 has 12 divisors (see below), whose sum is σ = 56913732. Its totient is φ = 48112896.

The previous prime is 52340797. The next prime is 52340831. The reversal of 52340821 is 12804325.

52340821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7918596 + 44422225 = 2814^2 + 6665^2 .

It is not a de Polignac number, because 52340821 - 223 = 43952213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52340831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53085 + ... + 54061.

It is an arithmetic number, because the mean of its divisors is an integer number (4742811).

Almost surely, 252340821 is an apocalyptic number.

It is an amenable number.

52340821 is a deficient number, since it is larger than the sum of its proper divisors (4572911).

52340821 is a wasteful number, since it uses less digits than its factorization.

52340821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 52340821 is about 7234.6956397626. The cubic root of 52340821 is about 374.0648009386.

The spelling of 52340821 in words is "fifty-two million, three hundred forty thousand, eight hundred twenty-one".

Divisors: 1 13 169 317 977 4121 12701 53573 165113 309709 4026217 52340821